Primary 3 Numbers up to 10 000 Study Guide
Primary 3 numbers up to 10 000 in five short steps, from place value to growing matchstick figures. Each step has something to tap and a question to try.
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What is place value?
A digit gets its value from its place.
From the left, the places in a 4-digit number are thousands, hundreds, tens and ones. In 4068 the 4 is in the thousands place, so it stands for four thousand. The 0 shows that the hundreds place is empty, which is why 4068 is not 468.
In this chapter, your child uses place value to:
- read and write numbers up to 10 000 in numerals and in words;
- rename ten of one place as one of the next place;
- compare and order numbers, starting from the thousands;
- find the gap in a number pattern and continue it;
- make the greatest or smallest number from digit cards, and count matchsticks in growing figures.
Step 1
Place value and number words
One digit in each place, read from the left. Count the discs in each column of the place-value chart and write one digit for each place, with 0 for an empty place. When a place has ten or more discs, rename ten of them as one disc of the next place on the left.
Tap + or −, then Rename
Write 3 thousands, 2 hundreds and 15 ones as a numeral.
Step 2
Comparing and ordering numbers
Line up the digits and start from the thousands. Move right one place at a time. While the digits are the same, move on. The first place with different digits tells us which number is greater. Ascending order means smallest first; descending order means greatest first.
Pick a set, then compare place by place
Arrange 2519, 2591 and 2195 in ascending order.
Step 3
Number patterns up to 10 000
Find the gap, check it, then use it. Subtract two numbers that are next to each other to find the difference. Check that the next pair has the same difference. If the numbers grow, count on by the gap; if they get smaller, count back.
Pick a pattern, then tap the button
Complete the number pattern: 4750, 4600, 4450, ____
Step 4
Digit card number questions
Fill the ones place first, then go from the thousands. An even number must have an even ones digit; an odd number must have an odd ones digit. Put a card that fits there, then fill the thousands, hundreds and tens with the greatest cards left, or the smallest. Zero cannot go first.
Tap a card for the ones place
Use the digit cards 3, 6, 1 and 9 once each. Make the greatest four-digit even number.
Step 5
Matchstick pattern questions
Start with figure 1, then add the same number of sticks for each gap. Joined shapes share a matchstick, so each new shape adds fewer sticks than it has sides. Figure 6 is 5 gaps after figure 1. Multiply the gaps by the sticks each gap adds, then add figure 1's sticks.
Tap + to grow the figure
| Figure | 1 | 2 | 3 |
|---|---|---|---|
| Matchsticks | 4 | 7 | 10 |
Matchsticks make a row of joined triangles. Figure 1 uses 3 matchsticks and each new triangle adds 2. How many matchsticks does figure 7 use?
Primary 3 numbers up to 10 000 questions, worked step by stepCover the working and try each one on paper. Then open the hint, or reveal the lines one by one.
Write five thousand and thirty-six in numerals.
- Thousands: 5; hundreds: 0; tens: 3; ones: 6.
- Number = 5000 + 30 + 6 = 5036
Siti shows 2 thousands, 14 hundreds, 3 tens and 5 ones with number discs. What number does she show?
- 14 hundreds = 1 thousand and 4 hundreds
- 2 thousands + 1 thousand = 3 thousands
- 3 thousands, 4 hundreds, 3 tens and 5 ones
- Number = 3000 + 400 + 30 + 5 = 3435
Complete the number pattern: 9150, 8900, 8650, ____, 8150
- Gap = 9150 − 8900 = 250
- Check: 8900 − 8650 = 250
- Missing number = 8650 − 250 = 8400
- Check: 8400 − 250 = 8150
Use the digit cards 4, 0, 9 and 7 once each. Make the smallest four-digit even number.
- The ones digit must be even: 0 or 4.
- 0 in the ones place: order the remaining cards 4, 7, 9 to make 4790.
- 4 in the ones place: 0 cannot go first; use 7, 0, 9 to make 7094.
- 4790 < 7094.
Matchsticks make a row of joined triangles. Figure 1 uses 3 matchsticks, and each new triangle adds 2. Which figure uses 31 matchsticks?
- 31 − 3 = 28 matchsticks added
- Gaps = 28 ÷ 2 = 14
- Figure = 1 + 14 = 15
Check yourself
Five quick questions, one from each step. Your answers show which subtopic to practise next.
1. What is the value of the digit 4 in 7405?
2. Which is the greatest: 3870, 3807 or 3780?
3. What comes next: 5620, 5520, 5420, ____?
4. Use the cards 2, 7, 0 and 4 once each. What is the greatest four-digit odd number?
5. A row of joined matchstick squares: figure 1 uses 4 sticks and each new square adds 3. How many sticks does figure 8 use?
Use a place-value chart at home. Draw four columns on paper and let your child put coins or buttons in them. Ask them to read the number aloud, then write it in numerals and in words. A place with nothing in it still needs its 0.
For comparing, patterns and digit cards, ask your child to say the place they are looking at before they answer, for example "same thousands, so I look at the hundreds". Then try the worked examples on paper and reveal the lines one at a time.
More study guides
P3 Numbers up to 10 000 lessons and practice
6 lesson videos and 62 questions across five subtopics, from Basic to Challenge, each with a worked solution.
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